Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions

• Published in: IMA journal of applied mathematics Vol. 87; no. 1; pp. 80 - 110
• Main Authors: Goddard, B D, Gooding, B, Short, H, Pavliotis, G A
• Format: Journal Article
• Language: English
• Published: Oxford University Press 22.01.2022
• Subjects: 82C26; bounded confidence; 65M70; opinion dynamics; phase transitions; no-flux boundary conditions; 2000 Math Subject Classification: 82C22

Abstract We study SDE and PDE models for opinion dynamics under bounded confidence, for a range of different boundary conditions, with and without the inclusion of a radical population. We perform exhaustive numerical studies with pseudo-spectral methods to determine the effects of the boundary cond...